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CAPITULO XXXI

R a d i c a l e s
Reducción de radicales semejantes
Ejercicio 237
Reducir:
  1. 7 2 15 2 = 2 (715 ) =8 2
  2. 4 3 20 3 +19 3 = 3 (420+19 ) =3 3
  3. 5 22 5 8 5 = 5 (1228 ) =29 5
  4. 2 9 2 +30 2 40 2 = 2 (19+3040 ) =18 2
  5. 3 4 2 1 2 2 = 2 ( 3 4 1 2 ) = 2 ( 32 4 ) = 1 4 2
  6. 3 5 3 3 = 3 ( 3 5 1 ) = 3 ( 35 5 ) = 2 5 3
  7. 2 5 1 2 5 + 3 4 5 = 5 (2 1 2 + 3 4 ) = 5 ( 82+3 4 ) = 9 4 5
  8. 1 4 3 +5 3 1 8 3 = 3 ( 1 4 +5 1 8 ) = 5 ( 2+401 8 ) = 41 8 5
  9. a b 3a b +7a b = b (a3a+7a ) =5a b
  10. 3x y +(ax )y 2x y = y [3x+(ax ) 2x ] = y [ 3x +a x 2x ] =a y
  11. (x1 )3 +(x3 )3 +4 3 = 3 [(x1 ) +(x3 ) +4 ] = 3 [x 1 +x 3 + 4 ] =2x 3
  12. 1 3 23 2 3 23 +2 23 = 23 ( 1 3 2 3 +2 ) = 23 ( 12+6 3 ) = 5 3 23
  13. 3 5 23 1 4 23 + 1 6 23 = 23 ( 3 5 1 4 + 1 6 ) = 23 ( 3615+10 60 ) = 31 60 23
  14. x a 2 3 (a2x ) a 2 3 +(2a3x ) a 2 3 = a 2 3 [x(a2x ) +(2a3x ) ] = a 2 3 [ x a+ 2x +2a 3x ] =a a 2 3